A New Algebraization of the Lame Equation

Details A New Algebraization of the Lame Equation A New Algebraization of the Lame Equation

1999-08-02

arxiv.org/abs/math-ph/9908002v1

J. Phys. A: Math. Gen. 33 (2000) 1519-1542

Physics

Mathematical Physics

Latex2e with AMS-LaTeX and cite packages; 32 pages

Scientific paper

10.1088/0305-4470/33/8/303

We develop a new way of writing the Lame Hamiltonian in Lie-algebraic form.
This yields, in a natural way, an explicit formula for both the Lame
polynomials and the classical non-meromorphic Lame functions in terms of
Chebyshev polynomials and of a certain family of weakly orthogonal polynomials

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